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Finding the Fourth Proportional to 2,098.79, 3,148.07 and 638.06

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Solution

The fourth proportional to 2,098.79, 3,148.07 and 638.06 is: 957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.79 : 3,148.07 = 638.06 : x
  2. Step 2: Convert to fraction form
    2,098.79/3,148.07 = 638.06/x
  3. Step 3: Cross multiply
    2,098.79x = 3,148.07 × 638.06
  4. Step 4: Simplify right side
    2,098.79x = 2,008,638.61
  5. Step 5: Solve for x
    x = 2,008,638.61/2,098.79
  6. Step 6: Final answer
    x = 957.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.